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Technology 
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Sketchpad Activities for Intro...

Interpretations & properties (Calculus)+ 
Sketchpad 
Activity 

[0]

Sketchpad Activities for Introducing Calculus Topics is a series of five activities designed to introduce students to the basic concepts of calculus. Use these activities near the end of Precalculus c...
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The Area Function

Interpretations & properties (Calculus) 
TINspire 
Activity 

[0]

In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci...
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Areas

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Compare the estimates for the area under part of a parabola given by inscribed and circumscribed rectangles.
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Areas

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Compare the estimates for the area under part of a sine curve given by inscribed and circumscribed rectangles.
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Definite Integrals

Riemann sums: int. as lim. (Calculus) 
Computer 
Support Material 

[0]

Defines a definite integral as the limit of Riemann sums.
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Special Riemann Sums

Riemann sums: L, R, and M. (Calculus) 
Computer 
Support Material 

[0]

Defines various special kinds of Riemann sums.
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RiemannSums.java

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Support Material 

[0]

Source code for the RiemannSums applet.
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Adaptive Learning Tool for Mat...

Definite Integrals (Calculus) 
Computer 
Tool 

[0]

The ToKToL online adaptive learning platform contains a large (2000) set of maths questions and associated explanatory texts. Questions are selected to adjust to the ability of the student so that whe...
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MultyGraphiX

Definite Integrals (Calculus) 
Computer 
Tool 

[0]

Windows software which allows the display of 2D and 3D diagrams both on one, and on different screens. Display 2D diagrams in the Cartesian and polar systems of coordinates. Display 3D diagrams in t...
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Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Flash 
Tool 

[0]

Animated directions for approximating the area under a particular function by using circumscribed rectangles.
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Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Flash 
Tool 

[0]

Animated directions for approximating the area under a particular function by using inscribed rectangles.
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Definite Integrals

Riemann sums: int. as lim. (Calculus) 
Flash 
Tool 

[0]

Uses Riemann sums to evaluate a particular definite integral.
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Definite Integrals

Riemann sums: int. as lim. (Calculus) 
Flash 
Tool 

[0]

Uses Riemann sums to prove a proposition about inequalities and integrals.
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Definite Integrals

Riemann sums: int. as lim. (Calculus) 
Flash 
Tool 

[0]

Uses Riemann sums to prove a special case of the proposition that the integral of a function from a to b is the same as the sum of the integrals from a to c and from c to b.
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Definite Integrals

Additivity and linearity (Calculus) 
Flash 
Tool 

[2]

Proof using Riemann sums that the integral of a sum is the same as the sum of the integrals.
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Definite Integrals

Additivity and linearity (Calculus) 
Flash 
Tool 

[2]

Proof using Riemann sums that you can bring a constant factor outside an integral.
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Definite Integrals

Riemann sums: int. as lim. (Calculus) 
Flash 
Tool 

[0]

Proof using Riemann sums that the integral from a to b of 1 is ba.
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Double Integrals in Rectangula...

Definite Integrals (Calculus) 
Flash 
Tool 

[0]

This applet give the user an opportunity to practice finding limits of integration in double integrals. The user can enter the limits and the resulting region on the plane is displayed. In many practi...
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Graphing the Cantor Function

Definite Integrals (Calculus) 
Flash 
Tool 

[0]

In this simple applet, you can graph ten steps for the Cantor function (before changes can no longer be visible on screen).
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The Definite Integral in Terms...

Definite Integrals (Calculus) 
Flash 
Tool 

[0]

This simple applet uses many examples to dynamically illustrate the Fundamental Theorem of Calculus and the meaning of the definte integral in terms of areas. The areas are shaded and the value of the...
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Approximating Distance Travele...

Interpretations & properties (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the idea of integration through a velocity example, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Approximating Distance Travele...

Interpretations & properties (Calculus) 
Java Applet 
Tool 

[0]

A Java applet that introduces the idea of integration through a velocity example using a graph, with questions to answer using the applet. Includes a rescalable presentation version with large fonts.
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Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Animated directions for approximating the area under a particular function by using circumscribed rectangles.
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Approximation of Areas

Riemann sums: L, R, and M. (Calculus) 
Java Applet 
Tool 

[0]

Animated directions for approximating the area under a particular function by using inscribed rectangles.
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Area Under a Curve (The Hell o...

Definite Integrals (Calculus) 
Java Applet 
Tool 

[0]

An explanation of integration; reading the entire explanation leads to "redemption".
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